Question

find the value of k,if x-1 is a factor of 4x³+3x²-2x+k​

Answer 1

Answer:

k = -5

Step-by-step explanation:

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Answer 2

Solution

$\sf \: x - 1 \: is \: a \: factor \: of \: {4x}^{3} + {3x}^{2} - 2x + k$

So, by using factor theorem

$\sf \: 4( {1)}^{3} + 3( {1)}^{2} - 2 \times 1 + k = 0$

$\sf \: 4 + 3 - 2 + k = 0$

$\sf \: 5 + k = 0$

$\sf \: k \: = \: - \: 5$

Hope it helps you.